33140870033000 has 128 divisors (see below), whose sum is σ = 78753190857120. Its totient is φ = 13051264665600.

The previous prime is 33140870032987. The next prime is 33140870033003. The reversal of 33140870033000 is 33007804133.

It can be written as a sum of positive squares in 16 ways, for example, as 571865663524 + 32569004369476 = 756218^2 + 5706926^2 .

It is not an unprimeable number, because it can be changed into a prime (33140870033003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40253474 + ... + 41068526.

Almost surely, 2^{33140870033000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33140870033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39376595428560).

33140870033000 is an abundant number, since it is smaller than the sum of its proper divisors (45612320824120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33140870033000 is a wasteful number, since it uses less digits than its factorization.

33140870033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815704 (or 815690 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 33140870033000 its reverse (33007804133), we get a palindrome (33173877837133).

The spelling of 33140870033000 in words is "thirty-three trillion, one hundred forty billion, eight hundred seventy million, thirty-three thousand".